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Finding the Third Proportional to 223,577 and 479,146

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Solution

The third proportional to 223,577 and 479,146 is: 1,026,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,577 : 479,146 = 479,146 : x
  2. Step 2: Convert to fraction form
    223,577/479,146 = 479,146/x
  3. Step 3: Cross multiply
    223,577x = 479,146 × 479,146
  4. Step 4: Simplify right side
    223,577x = 229,580,889,316
  5. Step 5: Solve for x
    x = 229,580,889,316/223,577
  6. Step 6: Final answer
    x = 1,026,853.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.